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Finding the Fourth Proportional to 102,514.75, 153,773.15 and 35,956.49

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Solution

The fourth proportional to 102,514.75, 153,773.15 and 35,956.49 is: 53,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,514.75 : 153,773.15 = 35,956.49 : x
  2. Step 2: Convert to fraction form
    102,514.75/153,773.15 = 35,956.49/x
  3. Step 3: Cross multiply
    102,514.75x = 153,773.15 × 35,956.49
  4. Step 4: Simplify right side
    102,514.75x = 5,529,141,781.60
  5. Step 5: Solve for x
    x = 5,529,141,781.60/102,514.75
  6. Step 6: Final answer
    x = 53,935.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.